Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions
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Publication:2977911
DOI10.1051/m2an/2016037zbMath1372.35120arXiv1310.4568OpenAlexW2403807620MaRDI QIDQ2977911
Publication date: 20 April 2017
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4568
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Monge-Ampère equations (35J96) PDEs with measure (35R06)
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Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation ⋮ Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution ⋮ Isogeometric Method for the Elliptic Monge-Ampère Equation ⋮ Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation ⋮ A note on the Monge–Ampère type equations with general source terms ⋮ On standard finite difference discretizations of the elliptic Monge-Ampère equation ⋮ On the weak convergence of Monge-Ampère measures for discrete convex mesh functions ⋮ A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains ⋮ Spline element method for Monge-Ampère equations
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